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Finding the Fourth Proportional to 301,438.22, 416,005.76 and 199,286.19

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Solution

The fourth proportional to 301,438.22, 416,005.76 and 199,286.19 is: 275,028.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,438.22 : 416,005.76 = 199,286.19 : x
  2. Step 2: Convert to fraction form
    301,438.22/416,005.76 = 199,286.19/x
  3. Step 3: Cross multiply
    301,438.22x = 416,005.76 × 199,286.19
  4. Step 4: Simplify right side
    301,438.22x = 82,904,203,426.67
  5. Step 5: Solve for x
    x = 82,904,203,426.67/301,438.22
  6. Step 6: Final answer
    x = 275,028.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.